WHY did they say you were not eligible for rehire?

Did you bail without two weeks notice? Did you leave your students hanging? Or were you a lousy employee?

Did you disclose that your employer might say bad things and why?

In almost thirty years since I left high school, I have been fired twice by two different companies. One rehired me a year later, and the second offered to forward a personal NOT professional reference (I failed to meet their training requirements) because I was a forthright and honest guy.

When I was in the hiring department at one company, I had to let a guy go because he had a shortfall, but I, too, offered him a reference because he was an a-j-squared-away guy who just happened to not meet our standards. His next employer contacted me, and with my recommendation, he was hired.

If the company was like a bitter ex lover, the new company will understand (especially if you give them a heads up), but if you burned a bridge, you may be out of luck.